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Finding the Fourth Proportional to 1,370.39, 2,054.41 and 629.75

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Solution

The fourth proportional to 1,370.39, 2,054.41 and 629.75 is: 944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.39 : 2,054.41 = 629.75 : x
  2. Step 2: Convert to fraction form
    1,370.39/2,054.41 = 629.75/x
  3. Step 3: Cross multiply
    1,370.39x = 2,054.41 × 629.75
  4. Step 4: Simplify right side
    1,370.39x = 1,293,764.70
  5. Step 5: Solve for x
    x = 1,293,764.70/1,370.39
  6. Step 6: Final answer
    x = 944.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.